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Molodets [167]
2 years ago
11

If 2 years on earth equals 5 months in another dimension, what are the equations to find the time in earth and that other dimens

ion?
Mathematics
1 answer:
Ede4ka [16]2 years ago
6 0

Let x be the length of a month on the other dimension. Since a year value is 365.242 days

We have 2 × 365.242 = 5 × x

It means that 5x = 730,484

and that x = 730,484 / 5 ≈ 146,1 days rounded to the decimal

This means that a month length in the other dimension is of roughly 146 days.. and If we assume that a month in the other dimension is of 30 days approximately, then one day length would be of 146,1 / 30 ≈ 4.87 days

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Answer:

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Step-by-step explanation:

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To obtain this form use the method of completing the square.

Given

f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms

     = - 0.6(x² - 7x) + 240

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² - 7x

f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240

      = - 0.6 (x - 3.5)² + 7.35 + 240

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with vertex = (3.5, 247.35 )

The maximum value is the y- coordinate of the vertex

Then

f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35

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The relationship between the sets of photos and the amount raised is an illustration of linear equations

<u>(a) Interpret the slope and the y-intercept</u>

From the graph, we have the following points

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The slope (m) is calculated as:

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The slope (15) means that, they charge $15 per photo they sold

The y-intercept is the point where x = 0.

So, the y-intercept is 25

This means that, they have raised $25 before they start selling the photos

<u>(b) Same slope but different y-intercept of 40</u>

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The slope (12.5) means that, they charge $12.5 per photo they sold

Read more about linear equations at:

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